MODELING WAVE-CURRENT COEXISTENCE FIELD FOR WAVE TRANSFORMATION

A non-linear wave-current model is presented for wave transformation analyses in a wave-current coexistence field. The model is based on Madsen et al.1), 2) type extended Boussinesq equations. For the application of the governing equations in a wave-current field, a wave-current dispersion relation is also derived from a wave-current velocity potential. A semi-implicit finite difference scheme is adopted for the solution to the equations. The model is applied to a sloping bottom topography and 1D model results are compared with laboratory experiments and analytical solution. Results depict that interactions are more pronounced in the constant-depth shallow water region, and wave height increases for waves propagation against adverse currents and wave height decreases for waves propagation with following currents. Also, the wave-current field changes mean water level all over the domain, and steady current and wave motion affect the wave-current set-down.